Properties of the Number -513

Five Hundred Thirteen

Basics

Value: -514 → -513 → -512

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 19

Divisors: 1, 3, 9, 19, 27, 57, 171, 513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000000001

Octal: -1001

Duodecimal: -369

Hexadecimal: -201

Square: 263169

Square Root: 22.64950330581225

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = ∑_{d divides n} (-1)^{d + n/d} * d⁹. A321565

Values of n such that L(9) and N(9) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A226929

Square array A(n,k), n >= 1, k >= 0, read by antidiagonals: A(n,k) = ∑_d∣n (-1)^n/d+d*d^k. A322083

a(n) = 6ⁿ - n⁶. A24068

Coefficients of the '6th-order' mock θ function λ(q). A53272

G.f. A(x) satisfies: A(x)² = A(x²) + 6·x. A264412

Table T(m,k)=m^k-k^m (with 0⁰ taken to be 1) as square array read by antidiagonals. A55651

Expansion of ∑_k>0 x^3·k/(1+x^k)³. A363615

Expansion of 1/(1 +x -2·x² -x³ -x⁴ -3·x⁵ +2·x⁶ +2·x⁷ +3·x⁸ +2·x⁹ -3·x¹⁰ -7·x¹¹ -3·x¹² -5·x¹³). A143372

Table T(n,k) = kⁿ - n^k, n, k > 0, read by descending antidiagonals. A220417